TY  - JOUR
A1  - Braun, W.
A1  - Pikovskij, Arkadij
A1  - Matias, M. A.
A1  - Colet, P.
T1  - Global dynamics of oscillator populations under common noise
JF  - epl : a letters journal exploring the frontiers of physics
N2  - Common noise acting on a population of identical oscillators can synchronize them. We develop a description of this process which is not limited to the states close to synchrony, but provides a global picture of the evolution of the ensembles. The theory is based on the Watanabe-Strogatz transformation, allowing us to obtain closed stochastic equations for the global variables. We show that at the initial stage, the order parameter grows linearly in time, while at the later stages the convergence to synchrony is exponentially fast. Furthermore, we extend the theory to nonidentical ensembles with the Lorentzian distribution of natural frequencies and determine the stationary values of the order parameter in dependence on driving noise and mismatch.
Y1  - 2012
U6  - https://doi.org/10.1209/0295-5075/99/20006
SN  - 0295-5075
VL  - 99
IS  - 2
PB  - EDP Sciences
CY  - Mulhouse
ER  -